Potential energy of a block moving up and down an incline.

In summary: Parabola is correct, but which one of the two shown?D. Since it starts and ends with zero.D. Since it starts and ends with zero.In summary, the potential energy of the block as a function of time is represented by a parabolic graph.
  • #1
YMMMA
156
10

Homework Statement


Which graphy represents the potential energy of the block as a function of time?

Homework Equations


PE=mgh

The Attempt at a Solution


First, the potential energy is zero until it reache the top of the incline where the potential energy is maximum. Moving down, the potential energy decreases until zero. But then I am confused is it a parabolic graph like D or linear?
 

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  • #2
YMMMA said:

Homework Statement


Which graphy represents the potential energy of the block as a function of time?

Homework Equations


PE=mgh

The Attempt at a Solution


First, the potential energy is zero until it reache the top of the incline where the potential energy is maximum. Moving down, the potential energy decreases until zero. But then I am confused is it a parabolic graph like D or linear?
To answer that question, you need to find U(t). Can you do that? Hint: h(t) will do because U(t) = mgh(t).
 
  • #3
kuruman said:
To answer that question, you need to find U(t). Can you do that? Hint: h(t) will do because U(t) = mgh(t).
Ahh, right the height is proportional to the time squared. So, it’s a parabola.
 
  • #4
Parabola is correct, but which one of the two shown?
 
  • #5
D. Since it starts and ends with zero.
 
  • #6
YMMMA said:
D. Since it starts and ends with zero.
Not a good enough explanation. The zero value for potential energy is (as you know) arbitrary. What if the other graph was labeled so that the potential energy is zero at its end points?
 
  • #7
kuruman said:
Not a good enough explanation. The zero value for potential energy is (as you know) arbitrary. What if the other graph was labeled so that the potential energy is zero at its end points?
No, it starts with zero, reaches maximum height/ potential energy, and then decrease to zero.
 
  • #8
Right. The potential energy must exhibit a maximum and must be parabolic.
 
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1. What is potential energy?

Potential energy is the energy that an object possesses due to its position or state. It is the energy that can be converted into other forms, such as kinetic energy, to do work on an object.

2. How is potential energy calculated?

The potential energy of a block moving up and down an incline can be calculated using the formula PE = mgh, where m is the mass of the object, g is the acceleration due to gravity, and h is the height of the object above the ground.

3. How does potential energy change as the block moves up and down the incline?

As the block moves up the incline, its potential energy increases because it is gaining height and moving further away from the ground. As the block moves down the incline, its potential energy decreases because it is losing height and moving closer to the ground.

4. What factors affect the potential energy of the block on the incline?

The potential energy of the block on the incline is affected by its mass, the height of the incline, and the acceleration due to gravity. The steeper the incline and the higher the mass of the block, the greater the potential energy.

5. Can potential energy be converted into other forms of energy?

Yes, potential energy can be converted into other forms of energy, such as kinetic energy. As the block moves down the incline, its potential energy is converted into kinetic energy, which is the energy of motion. This can be seen when the block gains speed as it moves down the incline.

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